On average, a human heart is found to beat 75 times in a minute. Its frequency and period respectively are:

1.  2.25 Hz and 0.8 sec

2.  1.35 Hz and 0.9 sec

3.  1.25 Hz and 0.8 sec

4.  1.25 kHz and 0.8 sec

Given the following simple harmonic motion.
(A) \(\sin\omega t - \cos\omega t\)
(B) \(\sin^{2}\omega t\)
The time period motions respectively are:
1. \(\dfrac{2 \pi}{\omega}  \text{ and }  \dfrac{\pi}{\omega}\)

2. \(\dfrac{2 \pi}{\omega}   \text{ and }\dfrac{\pi}{2 \omega}\)

3. \(\dfrac{2 \pi}{\omega}   \text{ and }\dfrac{4 \pi}{\omega}\)

4. \(\dfrac{\pi}{\omega}   \text{ and }   \dfrac{3 \pi}{\omega}\)

A body oscillates with SHM according to the equation (in SI units) \(x = 5\cos\left[2\pi t +\frac{\pi}{4}\right]\). At \(t = 1.5\) s, the displacement and speed of the body respectively are:
1. \(3.535~\text{m}~\text{and}~24~\text{m/s}\)
2. \(-3.535~\text{m}~\text{and}~24~\text{m/s}\)
3. \(-3.535~\text{m}~\text{and}~22~\text{m/s}\)
4. \(3.535~\text{m}~\text{and}~22~\text{m/s}\)

What is the length of a simple pendulum, which ticks seconds?
1. \(0.5~\text{m}\)
2. \(1~\text{m}\)
3. \(5~\text{m}\)
4. \(2~\text{m}\)

A 5 kg collar is attached to a spring of spring constant 500 N/m. It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10.0 cm and released. The period of oscillation of the collar is:

1.  $6.3 \sec$

2.  $63 \sec$

3.  $0.63 \sec$

4.  $6 \sec$